Gabriel N. Gatica

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 40

Top Topics

Boundary Element Method

Diffuse Optical Tomography

Top Venues

J. Sci. Comput.

Comput. Math. Appl.

J. Comput. Appl. Math.

Publications

Sergio Caucao, Gabriel N. Gatica, Juan P. Ortega
A three-field mixed finite element method for the convective Brinkman-Forchheimer problem with varying porosity. J. Comput. Appl. Math. 451 (2024)
Gabriel N. Gatica, Zeinab Gharibi
A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. J. Comput. Appl. Math. 447 (2024)
Gabriel N. Gatica
A note on the generalized Babuška-Brezzi theory: Revisiting the proof of the associated Strang error estimates. Appl. Math. Lett. 157 (2024)
Sergio Carrasco, Sergio Caucao, Gabriel N. Gatica
New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations. J. Sci. Comput. 97 (3) (2023)
Gabriel N. Gatica, Nicolás Núñez, Ricardo Ruiz-Baier
Mixed-Primal Methods for Natural Convection Driven Phase Change with Navier-Stokes-Brinkman Equations. J. Sci. Comput. 95 (3) (2023)
Sergio Caucao, Eligio Colmenares, Gabriel N. Gatica, Cristian Inzunza
A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem. Comput. Math. Appl. 145 (2023)
Gabriel N. Gatica, Nicolás Núñez, Ricardo Ruiz-Baier
New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. J. Num. Math. 31 (4) (2023)
Claudio I. Correa, Gabriel N. Gatica
On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces. Comput. Math. Appl. 117 (2022)
Gabriel N. Gatica, Cristian Inzunza, Filánder A. Sequeira
A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces. J. Sci. Comput. 92 (3) (2022)
Gabriel N. Gatica, Norbert Heuer, Salim Meddahi
Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968-2019). Comput. Methods Appl. Math. 22 (4) (2022)
Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems. J. Comput. Appl. Math. 409 (2022)
Gabriel N. Gatica, Cristian Inzunza, Ricardo Ruiz-Baier, Felipe Sandoval
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. J. Num. Math. 30 (4) (2022)
Eligio Colmenares, Gabriel N. Gatica, Willian Miranda
Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. J. Comput. Appl. Math. 393 (2021)
Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier, Yuri D. Sobral
Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds. Comput. Math. Appl. 84 (2021)
Gabriel N. Gatica, Cristian Inzunza
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations. Comput. Math. Appl. 102 (2021)
Nicolas A. Barnafi, Gabriel N. Gatica, Daniel E. Hurtado, Willian Miranda, Ricardo Ruiz-Baier
Adaptive Mesh Refinement in Deformable Image Registration: A Posteriori Error Estimates for Primal and Mixed Formulations. SIAM J. Imaging Sci. 14 (3) (2021)
Gabriel N. Gatica, Salim Meddahi
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. J. Num. Math. 28 (4) (2020)
Javier A. Almonacid, Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier
-dimensional Boussinesq problem with temperature-dependent viscosity. Networks Heterog. Media 15 (2) (2020)
Javier A. Almonacid, Gabriel N. Gatica
A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters. Comput. Methods Appl. Math. 20 (2) (2020)
Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Nestor Sánchez
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman-Forchheimer Equations. J. Sci. Comput. 85 (2) (2020)
Gabriel N. Gatica, Ricardo Oyarzúa, Nathalie Valenzuela
A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem. Comput. Math. Appl. 80 (8) (2020)
Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. CoRR (2020)
Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. Comput. Math. Appl. 77 (5) (2019)
Gabriel N. Gatica, Salim Meddahi
On the Coupling of VEM and BEM in Two and Three Dimensions. SIAM J. Numer. Anal. 57 (6) (2019)
Eligio Colmenares, Gabriel N. Gatica, Ricardo Oyarzúa
A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. Comput. Math. Appl. 77 (3) (2019)
Mario Alvarez, Gabriel N. Gatica, Bryan Gomez-Vargas, Ricardo Ruiz-Baier
New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media. J. Sci. Comput. 80 (1) (2019)
Javier A. Almonacid, Gabriel N. Gatica, Ricardo Oyarzúa
A Posteriori Error Analysis of a Mixed-Primal Finite Element Method for the Boussinesq Problem with Temperature-Dependent Viscosity. J. Sci. Comput. 78 (2) (2019)
Mario Alvarez, Gabriel N. Gatica, Ricardo Ruiz-Baier
A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. J. Comput. Phys. 367 (2018)
Nicolas A. Barnafi, Gabriel N. Gatica, Daniel E. Hurtado
Primal and Mixed Finite Element Methods for Deformable Image Registration Problems. SIAM J. Imaging Sci. 11 (4) (2018)
Ernesto Cáceres, Gabriel N. Gatica, Filánder A. Sequeira
A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows. SIAM J. Numer. Anal. 56 (1) (2018)
Carlos García, Gabriel N. Gatica, Salim Meddahi
A New Mixed Finite Element Method for Elastodynamics with Weak Symmetry. J. Sci. Comput. 72 (3) (2017)
Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa, Ivana Sebestová
A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. J. Num. Math. 25 (2) (2017)
Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa, Giordano Tierra
An Augmented Mixed Finite Element Method for the Navier-Stokes Equations with Variable Viscosity. SIAM J. Numer. Anal. 54 (2) (2016)
Sebastián Domínguez, Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
A primal-mixed formulation for the strong coupling of quasi-Newtonian fluids with porous media. Adv. Comput. Math. 42 (3) (2016)
Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira
A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. Comput. Math. Appl. 71 (2) (2016)
Carolina Domínguez, Gabriel N. Gatica, Antonio Márquez
A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions. J. Comput. Appl. Math. 292 (2016)
Carlos García, Gabriel N. Gatica, Salim Meddahi
A new mixed finite element analysis of the elastodynamic equations. Appl. Math. Lett. 59 (2016)
Gabriel N. Gatica, Ricardo Ruiz-Baier, Giordano Tierra
A mixed finite element method for Darcy's equations with pressure dependent porosity. Math. Comput. 85 (297) (2016)
Gabriel N. Gatica, Filánder A. Sequeira
A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows. J. Sci. Comput. 69 (3) (2016)
Gabriel N. Gatica, Ricardo Ruiz-Baier, Giordano Tierra
A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity. Comput. Math. Appl. 72 (9) (2016)
Gabriel N. Gatica, Filánder A. Sequeira
Analysis of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows. J. Sci. Comput. 65 (3) (2015)
Gabriel N. Gatica, Luis F. Gatica, Filánder A. Sequeira
A approximation for linear elasticity yielding a broken convergent postprocessed stress. Appl. Math. Lett. 49 (2015)
Gabriel N. Gatica, Luis F. Gatica, Antonio Márquez
Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow. Numerische Mathematik 126 (4) (2014)
Gabriel N. Gatica, George C. Hsiao, Francisco-Javier Sayas
Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling. Numerische Mathematik 120 (3) (2012)
Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
Analysis of the Coupling of Lagrange and Arnold-Falk-Winther Finite Elements for a Fluid-Solid Interaction Problem in Three Dimensions. SIAM J. Numer. Anal. 50 (3) (2012)
Gabriel N. Gatica, Ricardo Oyarzúa, Francisco-Javier Sayas
Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem. Math. Comput. 80 (276) (2011)
Ivo Babuska, Gabriel N. Gatica
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem. SIAM J. Numer. Anal. 48 (2) (2010)
Gabriel N. Gatica, George C. Hsiao, Salim Meddahi
A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body. SIAM J. Numer. Anal. 48 (4) (2010)
Gabriel N. Gatica, Norbert Heuer, Francisco-Javier Sayas
A direct coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. 79 (271) (2010)
Gabriel N. Gatica, George C. Hsiao, Salim Meddahi
A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem. Numerische Mathematik 114 (1) (2009)
Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
A new coupling of mixed finite element and boundary element methods for an exterior Helmholtz problem in the plane. Adv. Comput. Math. 30 (3) (2009)
Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
An augmented mixed finite element method for 3D linear elasticity problems. J. Comput. Appl. Math. 231 (2) (2009)
Leonardo E. Figueroa, Gabriel N. Gatica, Antonio Márquez
Augmented Mixed Finite Element Methods for the Stationary Stokes Equations. SIAM J. Sci. Comput. 31 (2) (2008)
Gabriel N. Gatica, Francisco-Javier Sayas
Characterizing the inf-sup condition on product spaces. Numerische Mathematik 109 (2) (2008)
Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem. SIAM J. Numer. Anal. 45 (5) (2007)
Tomás P. Barrios, Gabriel N. Gatica, Freddy Paiva
A wavelet-based stabilization of the mixed finite element method with Lagrange multipliers. Appl. Math. Lett. 19 (3) (2006)
Gabriel N. Gatica, Francisco-Javier Sayas
An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods. Math. Comput. 75 (256) (2006)
Gabriel N. Gatica, Salim Meddahi
On the coupling of MIXED-FEM and BEM for an exterior Helmholtz problem in the plane. Numerische Mathematik 100 (4) (2005)
Rommel Bustinza, Gabriel N. Gatica, Bernardo Cockburn
Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems. J. Sci. Comput. 22 (1) (2005)
Rommel Bustinza, Galina C. García, Gabriel N. Gatica
A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems. Numerische Mathematik 96 (3) (2004)
Rommel Bustinza, Gabriel N. Gatica
A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions. SIAM J. Sci. Comput. 26 (1) (2004)
Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider
Least Squares Methods for the Coupling of FEM and BEM. SIAM J. Numer. Anal. 41 (5) (2003)
Gabriel N. Gatica, Norbert Heuer
A Preconditioned MINRES Method for the Coupling of Mixed-FEM and BEM for Some Nonlinear Problems. SIAM J. Sci. Comput. 24 (2) (2002)
Gabriel N. Gatica, Norbert Heuer
Conjugate gradient method for dual-dual mixed formulations. Math. Comput. 71 (240) (2002)
Mauricio A. Barrientos, Gabriel N. Gatica, Ernst P. Stephan
A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate. Numerische Mathematik 91 (2) (2002)
Gabriel R. Barrenechea, Gabriel N. Gatica
. Numerische Mathematik 88 (2) (2001)
Gabriel N. Gatica, Norbert Heuer
Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. Numer. Linear Algebra Appl. 8 (3) (2001)
Gabriel N. Gatica, Salim Meddahi
A dual-dual mixed formulation for nonlinear exterior transmission problems. Math. Comput. 70 (236) (2001)
Gabriel N. Gatica, Norbert Heuer
A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity. SIAM J. Numer. Anal. 38 (2) (2000)